Homemade 3D rendering engine (I)

During fall 2012, I built a Rubik cube game for Windows Store. For various reasons, I needed to complete the game quickly. I was a managed code programmer using C# primarily, and at that time, WinRT does not support 3D rendering on Windows Store using managed code, so I decided to roll my own. The code worked, but it has poor performance with respect to current technologies since this is pure software rendering. Take this as an attempt to write a 3D rendering engine exercise.

Here I am documenting the engine I have written.